10% of the workers of a company employing 1000 workers earn less than `5 per
day. 200 of them earn between `5 and `9.99 per day. 30% between `10 and
`14.99. 250 of them earn between `15 and `19.99 and the rest earns `20 and
above. What is the median wage of the company?
Answers
Given : 10% of the workers of a company employing 1000 workers earn less than `5 per day.
200 of them earn between `5 and `9.99 per day.
30% between `10 and `14.99.
250 of them earn between `15 and `19.99 and
rest earns `20 and above.
To Find : the median wage of the company?
Solution:
f Cf
Less than 5 = (10/100)1000 = 100 100
5 - 9.99 200 300
10 - 14.99 (30/100)1000 300 600
15 - 19.99 250 850
20 and above 150 1000
1000/2 = 500
lies between 10 - 14.99
Median = 10 + 5 ( 500 - 300)/300
= 10 + 5 * 200 / 300
= 10 + 10/3
= 40/3
= 13.33
median wage of the company = 13.33
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